Dominik Bernhardt

collaborators

2 papers

math.GR2021

Conjugacy classes and centralisers in wreath products

Dominik Bernhardt, Alice C. Niemeyer, Friedrich Rober +1

In analogy to the disjoint cycle decomposition in permutation groups, Ore and Specht define a decomposition of elements of the full monomial group and exploit this to describe conj…

math.GR2021

The groups $G$ satisfying a functional equation $f (x k) = x f (x)$ for some $k \in G$

Dominik Bernhardt, Tim Boykett, Alice Devillers +2

We study the groups $G$ with the curious property that there exists an element $k \in G$ and a function $f : G \to G$ such that $f (x k) = x f (x)$ holds for all $x \in G$ . This propert…

Conjugacy classes and centralisers in wreath products

The groups G satisfying a functional equation f(xk)=xf(x) for some k∈G

The groups $G$ satisfying a functional equation $f (x k) = x f (x)$ for some $k \in G$